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Q.

The equation x55x3+5x21=0 has 3 equal roots. If  α,β are the other two roots of the equation then α+β+αβ=___

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a

-4 

b

3

c

-2 

d

-5

answer is C.

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Detailed Solution

fx=x55x3+5x21=0
 f1(x)=5x415x2+10x f11(x)=20x330x+10=0 f(1)=0,f1(1)=0,f11(1)=0
1 is multiple roots

1,1,1,α,β be the roots
s1=0    s5=1
1+1+1+α+β=0          1.1.1.α.β=1
α+β+αβ=3+1=2

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